{"id":14017,"date":"2020-11-18T21:49:56","date_gmt":"2020-11-18T20:49:56","guid":{"rendered":"https:\/\/dam.org\/museum\/?post_type=artists_ui&#038;p=14017"},"modified":"2026-08-18T10:10:35","modified_gmt":"2026-08-18T08:10:35","slug":"algorithmic-modulations","status":"publish","type":"artists_ui","link":"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/algorithmic-modulations\/","title":{"rendered":"algorithmic modulations"},"content":{"rendered":"<div class=\"wpb-content-wrapper\"><p>[vc_row][vc_column width=&#8221;2\/3&#8243;][vc_gallery type=&#8221;image_grid&#8221; images=&#8221;14015,14013,14014,14016&#8243; img_size=&#8221;medium&#8221; css_animation=&#8221;fade-up&#8221; css=&#8221;&#8221; hover_effect=&#8221;opacity&#8221;]<style>\n\t\t.dam-custom-grid{display:grid;grid-template-columns:repeat(var(--dam-grid-columns,3),minmax(0,1fr));gap:var(--dam-grid-gap,16px)}\n\t\t.dam-custom-grid--cols-1{--dam-grid-columns:1}\n\t\t.dam-custom-grid--cols-2{--dam-grid-columns:2}\n\t\t.dam-custom-grid--cols-3{--dam-grid-columns:3}\n\t\t.dam-custom-grid--cols-4{--dam-grid-columns:4}\n\t\t.dam-custom-grid--cols-5{--dam-grid-columns:5}\n\t\t.dam-custom-grid--cols-6{--dam-grid-columns:6}\n\t\t.dam-custom-grid__item{margin:0}\n\t\t.dam-custom-grid__image{display:block;width:100%;height:auto}\n\t\t.dam-custom-grid__link{display:block}\n\t\t.dam-custom-grid__caption{margin-top:8px;font-size:.875rem;line-height:1.4}\n\t\t@media (max-width:1024px){.dam-custom-grid{grid-template-columns:repeat(min(3,var(--dam-grid-columns,3)),minmax(0,1fr))}}\n\t\t@media (max-width:767px){.dam-custom-grid{grid-template-columns:repeat(min(2,var(--dam-grid-columns,3)),minmax(0,1fr))}}\n\t<\/style><div class=\"dam-custom-grid dam-custom-grid--cols-3\" style=\"--dam-grid-gap:16px;\"><figure class=\"dam-custom-grid__item\"><a href=\"https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p2600mm_10.jpg\" class=\"dam-custom-grid__link\" data-lightbox=\"dam-custom-grid\" title=\"Manfred Mohr, P2602-mm_10. Pigment ink\/paper. 42 x 42 cm (framed 50x50cm). 2019.\" data-title=\"Manfred Mohr, P2602-mm_10. Pigment ink\/paper. 42 x 42 cm (framed 50x50cm). 2019.\" data-caption=\"Manfred Mohr, P2602-mm_10. Pigment ink\/paper. 42 x 42 cm (framed 50x50cm). 2019.\"><img decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p2600mm_10-1024x1024.jpg\" class=\"dam-custom-grid__image\" alt=\"\" loading=\"lazy\" srcset=\"https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p2600mm_10-1024x1024.jpg 1024w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p2600mm_10-300x300.jpg 300w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p2600mm_10-150x150.jpg 150w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p2600mm_10-768x768.jpg 768w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p2600mm_10-570x570.jpg 570w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p2600mm_10-500x500.jpg 500w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p2600mm_10-550x550.jpg 550w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p2600mm_10-400x400.jpg 400w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p2600mm_10.jpg 1200w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><\/figure><figure class=\"dam-custom-grid__item\"><a href=\"https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p2600mm_00.jpg\" class=\"dam-custom-grid__link\" data-lightbox=\"dam-custom-grid\" title=\"Manfred Mohr, P2602-mm_00. Pigment ink\/paper. 42 x 42 cm (framed 50x50cm). 2019.\" data-title=\"Manfred Mohr, P2602-mm_00. Pigment ink\/paper. 42 x 42 cm (framed 50x50cm). 2019.\" data-caption=\"Manfred Mohr, P2602-mm_00. Pigment ink\/paper. 42 x 42 cm (framed 50x50cm). 2019.\"><img decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p2600mm_00-1024x1024.jpg\" class=\"dam-custom-grid__image\" alt=\"\" loading=\"lazy\" srcset=\"https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p2600mm_00-1024x1024.jpg 1024w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p2600mm_00-300x300.jpg 300w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p2600mm_00-150x150.jpg 150w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p2600mm_00-768x768.jpg 768w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p2600mm_00-570x570.jpg 570w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p2600mm_00-500x500.jpg 500w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p2600mm_00-550x550.jpg 550w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p2600mm_00-400x400.jpg 400w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p2600mm_00.jpg 1200w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><\/figure><figure class=\"dam-custom-grid__item\"><a href=\"https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p2600mm_01.jpg\" class=\"dam-custom-grid__link\" data-lightbox=\"dam-custom-grid\" title=\"Manfred Mohr, P2600-mm_01. Pigment ink\/paper. 42 x 42 cm (framed 50x50cm). 2019.\" data-title=\"Manfred Mohr, P2600-mm_01. Pigment ink\/paper. 42 x 42 cm (framed 50x50cm). 2019.\" data-caption=\"Manfred Mohr, P2600-mm_01. Pigment ink\/paper. 42 x 42 cm (framed 50x50cm). 2019.\"><img decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p2600mm_01-1024x1024.jpg\" class=\"dam-custom-grid__image\" alt=\"\" loading=\"lazy\" srcset=\"https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p2600mm_01-1024x1024.jpg 1024w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p2600mm_01-300x300.jpg 300w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p2600mm_01-150x150.jpg 150w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p2600mm_01-768x768.jpg 768w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p2600mm_01-570x570.jpg 570w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p2600mm_01-500x500.jpg 500w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p2600mm_01-550x550.jpg 550w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p2600mm_01-400x400.jpg 400w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p2600mm_01.jpg 1200w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><\/figure><figure class=\"dam-custom-grid__item\"><a href=\"https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-screen-algo-modulation.jpg\" class=\"dam-custom-grid__link\" data-lightbox=\"dam-custom-grid\" title=\"Manfred Mohr, Screen installation of  program 2600. LCD screen, mac mini. 50 x 50 x 11 cm. 2019.\" data-title=\"Manfred Mohr, Screen installation of  program 2600. LCD screen, mac mini. 50 x 50 x 11 cm. 2019.\" data-caption=\"Manfred Mohr, Screen installation of  program 2600. LCD screen, mac mini. 50 x 50 x 11 cm. 2019.\"><img decoding=\"async\" width=\"1024\" height=\"843\" src=\"https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-screen-algo-modulation-1024x843.jpg\" class=\"dam-custom-grid__image\" alt=\"\" loading=\"lazy\" srcset=\"https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-screen-algo-modulation-1024x843.jpg 1024w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-screen-algo-modulation-300x247.jpg 300w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-screen-algo-modulation-768x632.jpg 768w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-screen-algo-modulation-693x570.jpg 693w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-screen-algo-modulation-500x411.jpg 500w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-screen-algo-modulation-550x453.jpg 550w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-screen-algo-modulation-400x329.jpg 400w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-screen-algo-modulation.jpg 1417w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><\/figure><\/div>[\/vc_column][vc_column css_animation=&#8221;fade-up&#8221; width=&#8221;1\/3&#8243; shift_x=&#8221;0&#8243; shift_y=&#8221;0&#8243; z_index=&#8221;0&#8243;][vc_custom_heading text=&#8221;algorithmic modulations (2019)&#8221; use_theme_fonts=&#8221;yes&#8221; css=&#8221;&#8221; font_size=&#8221;16&#8243; text_align=&#8221;left&#8221; font_weight=&#8221;600&#8243;][vc_column_text]In this series, one randomly chosen diagonal path through a 12-D hypercube is selected and placed in three different angular positions. The diagonal-paths become visible as transparent color bands. A thin horizontal black line is drawn starting from each vertex (of all three diagonal paths), crossing the vertical center of the image and continuing to the opposite side. In addition, for each vertex a slightly thicker horizontal black line is drawn starting from the vertical center of the image and continuing to the negative x-value of the respective vertex (reflection from the vertical center). The music related horizontal lines were initially used in <em>Artificiata I<\/em>, 1969 and then again on numerous occasions.<br \/>\n[\/vc_column_text][vc_column_text]<strong>More works<\/strong><\/p>\n<p>algorithmic modulations (2019)<br \/>\n<a class=\"internal-link\" href=\"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/transit-code\/\">Transit-Code (2017-2018)<\/a><br \/>\n<a class=\"internal-link\" href=\"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/artificiata-ii\/\">Artificiata II (2012-2015)<\/a><br \/>\n<a class=\"internal-link\" href=\"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/parallel-resonance\/\">parallelResonance (2009-2011)<\/a><br \/>\n<a class=\"internal-link\" href=\"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/klangfarben\/\">klangfarben (2006-2007)<\/a><br \/>\n<a class=\"internal-link\" href=\"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/subsets-motion\/\">subsets.motion (2003-2005)<\/a><br \/>\n<a class=\"internal-link\" href=\"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/subsets\/\">subsets (2003-2005)<\/a><br \/>\n<a class=\"internal-link\" href=\"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/space-color-motion\/\">space.color.motion (2002-2004)<\/a><br \/>\n<a class=\"internal-link\" href=\"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/space-color\/\">space.color (1999-2003)<\/a><br \/>\n<a class=\"internal-link\" href=\"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/half-planes\/\">Half Planes (1995-1998)<\/a><br \/>\n<a class=\"internal-link\" href=\"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/counterpoint\/\">Counterpoint (1993-1995)<\/a><br \/>\n<a class=\"internal-link\" href=\"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/laserglyphs\/\">Laserglyphs (1990-1993)<\/a><br \/>\n<a class=\"internal-link\" href=\"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/line-cluster\/\">Line cluster (1989-1990)<\/a><br \/>\n<a class=\"internal-link\" href=\"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/dimensions-ii\/\">Dimensions II (1986-1989)<\/a><br \/>\n<a class=\"internal-link\" href=\"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/divisibility-ii-iii\/\">Divisibility II + III (1984-1986)<\/a><br \/>\n<a class=\"internal-link\" href=\"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/divisibility-i\/\">Divisibility I (1980-1984)<\/a><br \/>\n<a class=\"internal-link\" href=\"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/dimensions-i\/\">Dimensions I (1977-1979)<\/a><br \/>\n<a class=\"internal-link\" href=\"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/cubic-limit-ii\/\">Cubic limit II (1976-1977)<\/a><br \/>\n<a class=\"internal-link\" href=\"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/cubic-limit-i\/\">Cubic limit I (1973-1976)<\/a><br \/>\n<a class=\"internal-link\" href=\"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/early-algorithms\/\">Early algorithms (1969-1973)<\/a><br \/>\n<a class=\"internal-link\" href=\"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/hard-edge\/\">Hard edge (1966-1969)<\/a><br \/>\n<a class=\"internal-link\" href=\"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/early-work\/\">Early work (1960-1966)<\/a>[\/vc_column_text][\/vc_column][\/vc_row]<\/p>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>[vc_row][vc_column width=&#8221;2\/3&#8243;][vc_gallery type=&#8221;image_grid&#8221; images=&#8221;14015,14013,14014,14016&#8243; img_size=&#8221;medium&#8221; css_animation=&#8221;fade-up&#8221; css=&#8221;&#8221; hover_effect=&#8221;opacity&#8221;][\/vc_column][vc_column css_animation=&#8221;fade-up&#8221; width=&#8221;1\/3&#8243; shift_x=&#8221;0&#8243; shift_y=&#8221;0&#8243; z_index=&#8221;0&#8243;][vc_custom_heading text=&#8221;algorithmic modulations (2019)&#8221; use_theme_fonts=&#8221;yes&#8221; css=&#8221;&#8221; font_size=&#8221;16&#8243; text_align=&#8221;left&#8221; font_weight=&#8221;600&#8243;][vc_column_text]In this series, one randomly chosen diagonal path through a 12-D hypercube is selected and placed in three different angular positions. The diagonal-paths become visible as transparent color bands. A thin horizontal black line is&#8230;<\/p>\n<p><a rel=\"bookmark\" class=\"kayo-button-simple wvc-button wvc-button-size-xs\" href=\"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/algorithmic-modulations\/\"><span>Continue reading<\/span><\/a><\/p>\n","protected":false},"featured_media":14016,"parent":12827,"menu_order":0,"template":"","format":"standard","categories":[],"class_list":["post-14017","artists_ui","type-artists_ui","status-publish","format-standard","has-post-thumbnail","hentry","entry","clearfix","entry-grid","entry-columns-default","entry-artists_ui-module-layout-standard","thumbnail-color-tone-light","entry-artists_ui","entry-artists_ui-grid"],"_links":{"self":[{"href":"https:\/\/dam.org\/museum\/wp-json\/wp\/v2\/artists_ui\/14017","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/dam.org\/museum\/wp-json\/wp\/v2\/artists_ui"}],"about":[{"href":"https:\/\/dam.org\/museum\/wp-json\/wp\/v2\/types\/artists_ui"}],"up":[{"embeddable":true,"href":"https:\/\/dam.org\/museum\/wp-json\/wp\/v2\/artists_ui\/12827"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/dam.org\/museum\/wp-json\/wp\/v2\/media\/14016"}],"wp:attachment":[{"href":"https:\/\/dam.org\/museum\/wp-json\/wp\/v2\/media?parent=14017"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/dam.org\/museum\/wp-json\/wp\/v2\/categories?post=14017"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}